<p>If internationals, who number about 9 percent of students, win these awards at 3 times the US rate (i.e. account for 27 percent of the awards) it is still hard to see where 200 US national winners come from. Maybe they get the awards at more than 3 times the American rate, I don’t know. But I suspect that Schmill might have in some cases meant qualifier for national level if not the outright award winner.</p>